NDA
Bejelentkezés
Kapcsolat
Solving functional equations with computer |
Tartalom: | http://real.mtak.hu/29488/ |
---|---|
Archívum: | MTA Könyvtár |
Gyűjtemény: |
Status = Published
Type = Conference or Workshop Item |
Cím: |
Solving functional equations with computer
|
Létrehozó: |
Házy, Attila
|
Dátum: |
2013
|
Téma: |
QA74 Analysis / analízis
QA76 Computer software / programozás
|
Tartalmi leírás: |
In this paper we deal with the linear two variable
functional equation ?_0(x,y)f_0(g_0(x,y))+???+?_n(x,y)f_n(g_n(x,y))=F(x,y) where n is a positive integer, g_0, g_1,..., g_n, h_0,?_1,...,?_n and F are given real valued analytic functions on an open set ? ? ?^2,furthermore f_0,f_1,...,f_n are unknown functions. Applying the results of Páles we get recursively an inhomogeneous linear differential-functional equation in one of unknown function for f_1,f_2,...,f_n, respectively. One of our main result states that the solutions of the differential-functional equation obtained are the same as that of an ordinary differential equation (under some assumptions), whose order is usually much smaller than the order of the differetial-functional equation. Our aim is also to describe a computer-program which solves functional equations of this type. This algorithm is implemented in Maple symbolic language. |
Típus: |
Conference or Workshop Item
PeerReviewed
|
Formátum: |
text
|
Azonosító: |
Házy, Attila (2013) Solving functional equations with computer. In: IEEE 4th International Conference on Cognitive Infocommunications, CogInfoCom 2013, December 2-5, 2013., 2013.12.02-2013.12.05., Budapest.
|
Kapcsolat: |